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Finding the Third Proportional to 14,577.75 and 21,969.42

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Solution

The third proportional to 14,577.75 and 21,969.42 is: 33,109.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,577.75 : 21,969.42 = 21,969.42 : x
  2. Step 2: Convert to fraction form
    14,577.75/21,969.42 = 21,969.42/x
  3. Step 3: Cross multiply
    14,577.75x = 21,969.42 × 21,969.42
  4. Step 4: Simplify right side
    14,577.75x = 482,655,497.52
  5. Step 5: Solve for x
    x = 482,655,497.52/14,577.75
  6. Step 6: Final answer
    x = 33,109.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.